Non‐Newtonian electromagnetic fluid flow through a slanted parabolic started Riga surface with ramped energy

The present study deals with the implications of non‐Newtonian fluid via a slanted parabolic started surface with ramped energy. In addition, the characteristics of electrically conducting viscoelastic liquid moving across the Riga surface are investigated systematically, emphasized within the time‐dependent concentration and temperature variations. The mathematical model is made possible by enforcing momentum and heat conservation principles in the format of partial differential equations (PDEs). Heat considerations are emphasized with respect to radiant heat influx. Similarity characteristics are leveraged to convert PDEs to ordinary differential equations. The Laplace transform method is used to find the exact solutions for the obtained differential configuration. The effect of flow on associated patterns is depicted graphically and with tables. Furthermore, fluctuation in relevant engineering parameters such as wall shear stress, temperature, and mass variability on the surface is measured. The range of parameters selected is as follows: ψ [ 0.1 ‐ 1 ] $\psi [0.1 \mbox{-} 1]$, P r [ 0.71 ‐ 10 ] $Pr[0.71 \mbox{-} 10]$, S c [ 0.16 ‐ 2.01 ] $Sc[0.16 \mbox{-} 2.01]$, G r = G c [ 5 ‐ 20 ] $Gr=Gc[5 \mbox{-} 20]$, E [ 1 ‐ 5 ] $E[1 \mbox{-} 5]$, and R [ 2 ‐ 10 ] $R[2 \mbox{-} 10]$. The analytical and numerical solutions are validated and in good agreement. It is worth reporting that the improved Hartmann number and thermal radiation values boost velocity dispersion and skin friction. As expected, respectively, energy and mass transfer rates are escalated with large values of Prandtl number and Schmidt number.